A rectangular garden has an area if

12a^2-5a-2m^2

A.) Write the area as the product of two binomials with integer coefficients

B.) the garden is to be completely enclosed by a path 1 m wide. find and simplify an expression for the area of the path

C.) the path is concrete, poured to a depth of 10 cm. calculate the volume in m^3 of concrete used if a=6

PLEASE help:) thanks:)

1 answer

12a^2-5a-2m^2
= (3a -2m)(4a + m)

If we add 1 m to the end of each length and width
area of garden including path
= (3a-2m+2)(4a+m+2)

So area of path
= (3a-2m+2)(4a+m+2) - (3a -2m)(4a + m)
I will let you do the expanding and simplifying

sub in a = 6 into your answer for the path which will still contain the variable m
volume of concrete
= .1(answer you have above) m^3